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Finding the Third Proportional to 21,506 and 33,217

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Solution

The third proportional to 21,506 and 33,217 is: 51,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506 : 33,217 = 33,217 : x
  2. Step 2: Convert to fraction form
    21,506/33,217 = 33,217/x
  3. Step 3: Cross multiply
    21,506x = 33,217 × 33,217
  4. Step 4: Simplify right side
    21,506x = 1,103,369,089
  5. Step 5: Solve for x
    x = 1,103,369,089/21,506
  6. Step 6: Final answer
    x = 51,305.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.